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Finding the Fourth Proportional to 9,575.92, 13,214.83 and 5,596.24

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Solution

The fourth proportional to 9,575.92, 13,214.83 and 5,596.24 is: 7,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.92 : 13,214.83 = 5,596.24 : x
  2. Step 2: Convert to fraction form
    9,575.92/13,214.83 = 5,596.24/x
  3. Step 3: Cross multiply
    9,575.92x = 13,214.83 × 5,596.24
  4. Step 4: Simplify right side
    9,575.92x = 73,953,294.17
  5. Step 5: Solve for x
    x = 73,953,294.17/9,575.92
  6. Step 6: Final answer
    x = 7,722.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.